The results of feasibility studies for the D_{0} meson (open charm) measurements by its decay into two daughter particles, pion and kaon, in central Pb–Pb collisions at SPS energies are presented. To generate the physical input we use AMPT (A Multi-Phase Transport model) event generator. We employ GEANT4 application to describe particle transport through the experimental setup. The study is done assuming NA61/SHINE detector system supplemented with a future Vertex Detector (VD), which allows for precise track reconstruction at the target proximity. This precision is needed to select pion and kaon pairs that originate from the D_{0} decays. The simulation results show that this measurement is feasible. This study also addresses the issue of vertex detector optimization with emphasis on the prospect of the development of a vertex detector based on CMOS technology.